Sierra is selling bracelets to raise money for the Language Club at school. Each bracelet with yellow beads sells for $5. Each bracelet with orange beads sells for $6. She raised $660 for the club. The number of bracelets with yellow beads that Sierra sold is 8 more than twice the number of bracelets with orange beads. Let y represent the number of bracelets with yellow beads and r represent the number of bracelets with orange beads.Which system of equations will solve for the number of each type of bracelet sold? 5 y + 6 r = 660. y = 2 r + 8. 6 y + 5 r = 660. y = 2 r + 8. 5 y + 6 r = 660. y = r + 8. 6 y + 5 r = 660. r = 2 y + 8.

Answer:

  54.8 N·m

Step-by-step explanation:

The horizontal distance from the dumbbell to the elbow is ...

  (0.366 m)cos(15°) ≈ 0.3535 m

Then the torque due to the vertical force is ...

  (155 N)(0.3535 m) = 54.8 N·m

Answer:

60

Step-by-step explanation:

If the price is 30% off, you pay 70% of the price

Let x be the original price

.70x = sale price

.70x = 42

Divide each side by .7

.70x/.7 = 42/.7

x =60

The original price is 60

Answer: $ 60

Step-by-step explanation:

42 = x (1 - .3)

42 = .7 x

42/.7 = x

X = 60

Answer:

x>0

Step-by-step explanation:

The domain are the possible values of x you can use.

For ln functions, x must be positive (the ln of a negative number does not exist).

So, x must be larger than 0. No part of the graph will be left of the y axis.

Answer:

The answer is option A.

Hope this helps you

Answer:

a{(1, 3), (2, 3), (4,3), (9,3)}

Step-by-step explanation:

For the relation to be a function, each x can only go to 1 y

a{(1, 3), (2, 3), (4,3), (9,3)}

function

b{(1, 2), (1, 3), (1, 4), (1,5)}

x=1 goes to 4 different y's so not a function

c{(5, 4), (-6, 5), (4, 5), (4, 0)}

x=4 goes to 2 different y's so not a function

d{(6,-1), (1,4), (2, 3), (6, 1)}​

x = 6 goes to 2 different y's so not a function

Answer:

x=1/2

y=7

Step-by-step explanation:

2x − y + 6 = 0

4x + y − 9 = 0

Solve the second equation for y

y = 9-4x

Substitute this into the first equation

2x - (9-4x) +6 = 0

Distribute the minus sign

2x -9 +4x +6 =0

6x -3 =0

Add 3 to each side

6x =3

Divide by 6

6x/6 = 3/6

x =1/2

Now find y

y = 9-4x

y = 9 -4(1/2)

y = 9 - 2

y =7

Answer:

x=1/2

y=7

Step-by-step explanation:

2x − y + 6 = 0

4x + y − 9 = 0

y = 9-4x

2x - (9-4x) +6 = 0

2x -9 +4x +6 =0

6x -3 =0

6x =3

  6x/6 = 3/6

x =1/2

 y = 9-4x

y = 9 -4(1/2)

y = 9 - 2

y =7

Answer:

25.02% probability that exactly 19 men and 18 women are chosen

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the men and the women are selected is not important, so we use the combinations formula to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Desired outcomes:

19 men, from a set of 25

18 women, from a set of 22

[tex]D = C_{25,19}*C_{22,18} = \frac{25!}{19!6!}*\frac{22!}{18!4!} = 1295486500[/tex]

Total outcomes:

37 people from a set of 25 + 22 = 47. So

[tex]T = C_{47,37} = \frac{47!}{37!10!} = 5178066751[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{1295486500}{5178066751} = 0.2502[/tex]

25.02% probability that exactly 19 men and 18 women are chosen

Answer:

11 - 9 = 2 trick-or-treaters out of 11 were not dressed as pirates so the proportion is 2/11.

Answer: Ratio is 2:11

Step-by-step explanation:

So your ratio of pirates to non-pirates would be 9:11

So you subtract number of pirates from total trick-or-treaters and get 2.

So the proportion of non-pirates would be 2:11.

Answer:

Option A

Step-by-step explanation:

The first thing we want to do here is to rewrite the equation given to us, in standard circle equation -

[tex]x^2+y^2-6x+8y+21=0,\\\left(x-3\right)^2+\left(y-\left(-4\right)\right)^2=2^2[/tex]

The " standard form " of a circle is given to be in the following form,[tex](x-a)^{2} + (y-b)^{2} = r^2[/tex] where r = radius, centered at ( a, b )

Now as you can see, the center ( given by ( a, b ) ) should be ( 3, - 4 ). Respectively the radius is 2, and therefore the circle properties are -

Center [tex]( 3, - 4 )[/tex]; radius [tex]2[/tex]

Hope that helps!

Answer

i think its federal income tax increase. 2nd one i believe

Step-by-step explanation:

The President of the United States proposes a new national plan to reduce water pollution.

Which of these would most likely provide the revenue to pay for this new public service?

Step-by-step explanation:

answer is :

Answer:

0.45 ft/min

Step-by-step explanation:

Given:-

- The flow rate of the gravel, [tex]\frac{dV}{dt} = 35 \frac{ft^3}{min}[/tex]

- The base diameter ( d ) of cone = x

- The height ( h ) of cone = x

Find:-

How fast is the height of the pile increasing when the pile is 10 ft high?

Solution:-

- The constant flow rate of gravel dumped onto the conveyor belt is given to be 35 ft^3 / min.

- The gravel pile up into a heap of a conical shape such that base diameter ( d ) and the height ( h ) always remain the same. That is these parameter increase at the same rate.

- We develop a function of volume ( V ) of the heap piled up on conveyor belt in a conical shape as follows:

                                [tex]V = \frac{\pi }{12}*d^2*h\\\\V = \frac{\pi }{12}*x^3[/tex]

- Now we know that the volume ( V ) is a function of its base diameter and height ( x ). Where x is an implicit function of time ( t ). We will develop a rate of change expression of the volume of gravel piled as follows Use the chain rule of ordinary derivatives:

                               [tex]\frac{dV}{dt} = \frac{dV}{dx} * \frac{dx}{dt}\\\\\frac{dV}{dt} = \frac{\pi }{4} x^2 * \frac{dx}{dt}\\\\\frac{dx}{dt} = \frac{\frac{dV}{dt}}{\frac{\pi }{4} x^2}[/tex]

- Determine the rate of change of height ( h ) using the relation developed above when height is 10 ft:

                              [tex]h = x\\\\\frac{dh}{dt} = \frac{dx}{dt} = \frac{35 \frac{ft^3}{min} }{\frac{\pi }{4}*10^2 ft^2 } \\\\\frac{dh}{dt} = \frac{dx}{dt} = 0.45 \frac{ft}{min}[/tex]

Answer:

its 3:4

Hope this helps! :)

The ratio is 3:4  and the number of circle need is 3.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, from the given picture, we get that,

No. of circles = 9

No. of triangles = 12

So, required ratio = 9:12

                             =3:4

Now, Let, x circles are needed to make ratio 1:1

i.e. 9+x:12=1:1

9+x=12

x=3

Hence, The ratio is 3:4  and the number of circle need is 3.

To learn more on ratio click:

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#SPJ3

Answer:

-3 , 9

Step-by-step explanation:

Sum = - 6

Product = -27

Factors = 3, -9

x² - 6x-27 = 0

x² + 3x - 9x - 9*3 = 0

x(x + 3) - 9(x + 3)  = 0

(x + 3) (x - 9) = 0

x +3 = 0   ; x - 9 = 0

x = - 3     ; x = 9

Solution: x = -3 , 9

Answer:

5

Step-by-step explanation:

Answer:

Jet= 420 mph     Wind = 10mph

Step-by-step explanation:

The speed of the plane in a tailwind can be modeled by x+y where x is the speed of the plane and y is the speed of the wind. Dividing 1290 by 3 gets you the average speed of the jet in a tailwind, which is 430.

The speed of the plane in a headwind can be modeled by x-y where x is the speed of the plane and y is the speed of the wind. Dividing 1230 by 3 gets you the average speed of the jet in a tailwind, which is 410.

This can be modeled by a system of equations, where x+y=430 and x-y=410. Solving the equation you get x=420 and y=10.

So, the speed of the jet is 420 mph and the speed of the wind is 10 mph.

Answer:

  sum: 2 6/7

Step-by-step explanation:

The first term is 2, and the common ratio is 0.6/2 = 0.3. This value is less than 1, so the series converges.

The sum is ...

  S = a0/(1 -r) = 2/(1 -0.3) = 2/0.7

  S = 2 6/7

Answer:  16y² - x²

Step-by-step explanation:  The - sign means a difference, so the choices with + signs are eliminated (though 64x² and 9 are squares)

10 is not a square so that one is eliminated (though the y² and the 4x² are squares)

16 is the square of 4, y² is the square of y, and x² is the square. That expression shows a difference of squares.

Answer:

[tex]\frac{2}{12}[/tex] simplified to [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

4 = [tex]\frac{1}{12}[/tex]

2 = [tex]\frac{1}{12}[/tex]

[tex]\frac{1}{12}[/tex] + [tex]\frac{1}{12}[/tex] = [tex]\frac{2}{12}[/tex] ÷ 2 = [tex]\frac{1}{6}[/tex]

Answer:

[tex]9.9-2.14\frac{0.30}{\sqrt{15}}=9.734[/tex]    

[tex]9.9+2.14\frac{0.30}{\sqrt{15}}=10.066[/tex]    

Step-by-step explanation:

Information given

[tex]\bar X= 9.9[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=0.3 represent the sample standard deviation

n=15 represent the sample size  

Confidence interval

The confidence interval for the mean is given by the following formula:

[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex]   (1)

The degrees of freedom are given by:

[tex]df=n-1=15-1=14[/tex]

Since the Confidence is 0.95 or 95%, the value of [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], and the critical value wuld be [tex]t_{\alpha/2}=2.14[/tex]

Now we have everything in order to replace into formula (1):

[tex]9.9-2.14\frac{0.30}{\sqrt{15}}=9.734[/tex]    

[tex]9.9+2.14\frac{0.30}{\sqrt{15}}=10.066[/tex]    

Answer:

Total annual inventory cost = $480

c) 480

Step-by-step explanation:

given data

annual demand for the oil filter = 1200 units

ordering cost per order S = $80

holding cost of carrying 1 unit = $1.2 per year

lead time = 12 working days

number of working days = 360 days

solution

we get here economic order quantity that is express as

economic order quantity = [tex]\sqrt{\frac{2DS}{H}}[/tex]    ...............1

here D is annual demand and S is ordering cost and H is per unit cost

so put here value and we get

EOQ = [tex]\sqrt{\frac{2\times 1200 \times 80}{1.2}}[/tex]  

EOQ = 400 units

and

Annual ordering cost = annual demand × ordering cost ÷ order size   .........2

and here

No orders (Q) = annual demand ÷ order size   ...........3

Q =  1200 ÷ 400

Q = 3 orders

so

Annual ordering cost = ordering cost × number of order  ................4

put here value

Annual ordering cost = 80 × 3

Annual ordering cost = $240

and

Annual carrying cost = average inventory × per unit cost    ..........5

and

average inventory = EOQ ÷ 2        ...........6

Annual carrying cost = (EOQ × H) ÷ 2

put here value and we get

Annual carrying cost = 400 × 1.2  ÷ 2

Annual carrying cost = $240

and

so here Total annual inventory cost = Annual ordering cost + Annual carrying cost    .........................7

Total annual inventory cost = $240 + $240)

Total annual inventory cost = $480

Step-by-step explanation:

solution.

if variable d increases then w reduces

w=k.u ×1/d

=ku/d

therefore w=k.u/d

Answer:

6866, 71995

Step-by-step explanation:

I'm going to assume it has a growth rate of 160% per hour.

Anyways, since after four hours, there were 45,000 Bacteria X in the egg salad, we can write the following function:  

[tex]B(h)=P(1.6)^h[/tex], where P represents the initial amount, B(h) represents the total, and h represents the number of hours that has passed. The 1.6 represents the 160% growth rate per hour.

We already know that four hours has passed when the population is 45,000, thus:

[tex]45000=P(1.6)^4[/tex]

[tex]P=45000/(1.6)^4[/tex]

[tex]P\approx6866.46\approx6866[/tex]

So the initial population is around 6866.

After five hours, the number of bacteria will be:

[tex]B(5)=6866(1.6)^5\approx71995[/tex]

Answer:

pls look at photo attached

Answer:

0.9985

Step-by-step explanation:

The population standard deviation is:

s² = 64

s = 8

The sample standard deviation is:

σ = s/√n

σ = 8/√39

σ = 1.28

The z-score is:

z = (x − μ) / σ

z = (128.2 − 132) / 1.28

z = -2.97

The probability is:

P(Z > -2.97) = 1 − P(Z < -2.97)

P(Z > -2.97) = 1 − 0.0015

P(Z > -2.97) = 0.9985

Hey there!

To find the answer, we just need to see which point falls in this blue, which represents the inequality.

We see that the point (5,-5) is not on the blue.

We see that the point (1,5) is on the blue.

(-3,-3) is on the dotted line but not a solution of the inequality. The dotted line is excluded from the inequality. If it were a bold line, then it would be a solution of the inequality.

(3,-1) is also on the dotted line so it is not a solution.

Therefore, the answer is B. (1,5)

I hope that this helps!

We want to see which point is a solution for the graphed inequality.

We will find that the correct option is B, (1, 5)

Notice that the line that defines the inequality contains the points (-3, -3) and (3, -1)

Then the slope of that line is:

[tex]a = \frac{-1 -(-3)}{3 - (1)} = 1/2[/tex]

Then the line is something like:

y = (1/2)*x + b

To find the value of b, we use the fact that this line passes through the point (3, -1), then we have:

-1 = (1/2)*3 + b

-1 - 3/2 + b

-5/2 = b

So the line is:

y = (1/2)*x - 5/2

And we can see that the line is slashed, and the shaded area is above the line, then we have:

y > (1/2)*x - 5/2

Now that we have the inequality, we can just input the values of the points in the inequality and see if this is true.

First, options C and D can be discarded because these points are on the line, and the points on the line are not solutions.

So we only try with A and B.

A) x = 5

   y = -5

then we have:

-5 > (1/2)*5 - 5/2

-5 > 0

Which clearly is false.

B) x = 1

   y = 5

Then we have:

5 > (1/2)*1 - 5/2 = -4/2

5 > -4/2

This is true, then the point (1, 5) is a solution.

Thus the correct option is B.

If you want to learn more, you can read:

https://brainly.com/question/20383699

Answer:

  60 miles

Step-by-step explanation:

We assume the trip is "d" miles and that the "extra hour" refers to the additional time that a current of 2 mph would add. That is, we assume the reference time is for a current of 0 mph.

The time with no current is ...

  time1 = distance/speed

  time1 = d/12 . . . . hours

With a current of 2 mph in the opposite direction, the time is ...

  time2 = d/(12 -2) = d/10

The second time is 1 hour longer than the first, so we have ...

  time2 = 1 + time1

  d/10 = 1 + d/12

  6d = 60 + 5d . . . . multiply by 60

  d = 60 . . . . . . . . . subtract 5d

The one-way distance is 60 miles.

Answer:

4d + 6

Step-by-step explanation:

Helen ate d donuts.

Andrea ate 6 more than 4 times d.

4d + 6

Answer:

The real and imaginary parts of the result are [tex]\frac{1441}{1601}[/tex] and [tex]\frac{4}{1601}[/tex], respectively.

Step-by-step explanation:

Let be [tex]f(z) = \frac{z}{z+1}[/tex], the following expression is expanded by algebraic means:

[tex]f(z) = \frac{z\cdot (z-1)}{(z+1)\cdot (z-1)}[/tex]

[tex]f(z) = \frac{z^{2}-z}{z^{2}-1}[/tex]

[tex]f(z) = \frac{z^{2}}{z^{2}-1}-\frac{z}{z^{2}-1}[/tex]

If [tex]z = 4 - i5[/tex], then:

[tex]z^{2} = (4-i5)\cdot (4-i5)[/tex]

[tex]z^{2} = 16-i20-i20-(-1)\cdot (25)[/tex]

[tex]z^{2} = 41 - i40[/tex]

Then, the variable is substituted in the equation and simplified:

[tex]f(z) = \frac{41-i40}{41-i39} -\frac{4-i5}{41-i39}[/tex]

[tex]f(z) = \frac{37-i35}{41-i39}[/tex]

[tex]f(z) = \frac{(37-i35)\cdot (41+i39)}{(41-i39)\cdot (41+i39)}[/tex]

[tex]f(z) = \frac{1517-i1435+i1443+1365}{3202}[/tex]

[tex]f(z) = \frac{2882+i8}{3202}[/tex]

[tex]f(z) = \frac{1441}{1601} + i\frac{4}{1601}[/tex]

The real and imaginary parts of the result are [tex]\frac{1441}{1601}[/tex] and [tex]\frac{4}{1601}[/tex], respectively.

Answer:

√6

Step-by-step explanation:

√6 = 2.44948974278...

The number never ends and the values don't repeat therefore, the correct answer is √6.

Hope this helps! :)

Answer:

B. The square root of 5

Step-by-step explanation:

You can only square root a number that can be the answer to an equation like x*x=5, which it is not.

Answer:

The answer is: 325 517 424 395 494

Step-by-step explanation: